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First solution in Clear category for Largest Rectangle in a Histogram by Lemur21
def largest_histogram(histogram):
max_sq = 0
for i, h in enumerate(histogram):
min_height = h
for j, he in enumerate(histogram[i:], 1):
min_height = min(min_height, he)
max_sq = max(max_sq, j*min_height)
return max_sq
if __name__ == "__main__":
#These "asserts" using only for self-checking and not necessary for auto-testing
assert largest_histogram([5]) == 5, "one is always the biggest"
assert largest_histogram([5, 3]) == 6, "two are smallest X 2"
assert largest_histogram([1, 1, 4, 1]) == 4, "vertical"
assert largest_histogram([1, 1, 3, 1]) == 4, "horizontal"
assert largest_histogram([2, 1, 4, 5, 1, 3, 3]) == 8, "complex"
print("Done! Go check it!")
Dec. 8, 2020
